Algebraic groups and Lie algebras form a fundamental cornerstone in contemporary mathematics, intertwining the geometric framework of algebraic varieties with the analytic structure of continuous ...

Vertex algebras have emerged as a potent algebraic framework for encapsulating the operator product expansion inherent in conformal field theory, while extended affine Lie algebras (EALAs) generalise ...

The purpose of this paper is to give a classification of the orbits in a real reductive Lie algebra under the adjoint action of a corresponding connected Lie group. The classification is obtained by ...

It is proved that in a free nilpotent Lie algebra there are no nonabelian ideals which are free nilpotent as subalgebras. It is also shown that, for any proper ideal S of a free Lie algebra F, the ...